Elliptic curve isogeny class 76050.8-d over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-76050.8-d
• Conductor: 76050.8
• Rank: \( 0 \)

Base field \(\Q(\sqrt{-1}) \)

Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).

Elliptic curves in class 76050.8-d over \(\Q(\sqrt{-1}) \)

Isogeny class 76050.8-d contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
76050.8-d1	\( \bigl[i\) , \( i - 1\) , \( 0\) , \( 114 i + 75\) , \( 27 i - 450\bigr] \)
76050.8-d2	\( \bigl[i\) , \( i - 1\) , \( 0\) , \( 49 i + 30\) , \( -14 i + 137\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph